The y intercept in the scatter plot means that at 0 years working, you will get paid $8 per hr. The y intercept can be represented by the ordered pair (0,8). The independent variable is the # of years and the dependent variable is pay per hour.
Hope this helped :)
So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
To solve this problem you must apply the proccedure below:
1. Let's call:
x: hot dogs.
y: hamburguers.
2. Then, you must make a system of equations, as below:
5x+4y=12.25 (i)
4x+5y=12.50 (ii)
3. Now, you can solve the system of equation as below:
5x+4y=12.25
x=(12.25-4y)/5
4x+5y=12.50
4((12.25-4y)/5)+5y=12.50
y=1.5
4x+5y=12.50
4x+5(1.5)=12.50
x=1.25
4. Therefore, the answer is:
The cost of one hot dog is $1.25 and the cost of one hamburguer is $1.50
Answer:
5/2x, 5/2 y
Step-by-step explanation:
An enlargement means the scale factor must be greater than one
The only choice with a scale factor greater than one is 5/2x, 5/2 y
8 16/1000 = 8 2/125
Keep whole number the same, divide the numerator and denominator by 8.
